Threshold dynamics of an SIRI epidemic model with infection age and nonlinear incidence

发布时间：2018-11-09 作者：浏览次数：

Speaker:	陈玉明教授	DateTime:	2018年11月13日（周二）上午09:30-10:30
Brief Introduction to Speaker: 陈玉明教授，分别于1991年和1994年从北京大学获应用数学学士学位和硕士学位，并于2000年从加拿大约克大学（York University）获理学博士学位，2000年9月至2001年6月在加拿大阿尔伯塔大学（University of Alberta）做博士后。从20001年7月起，一直任教于加拿大罗瑞尔大学(Wilfrid Laurier University)。现为该校数学系正教授、博士生导师。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the American Mathematical Society， Mathematical Biosciences, Neural Networks等国际著名刊物发表论文百余篇，其成果被同行广泛引用，曾获安大略省科技与创新部早期研究者奖。主持了4项加拿大国家自然科学与工程理事会(NSERC)科研基金项目，参与了3项中国国家自然科学基金面上项目。积极参与高质量人才如硕士生、博士生、博士后的培养。陈教授与中国学者有广泛交流与合作。		Place:	六号楼二楼报告厅
Abstract: In this talk, we propose and analyze an SIRI epidemic model infection age and a general nonlinear incidence rate. Established is a threshold dynamics determined by the basic reproduction number R0. Roughly speaking, if R0 < 1 then the disease-free steady state is globally asymptotically stable while if R0> 1 then the endemic steady state is globally asymptotically stable. The global attractivity for the steady states are obtained by employing the fluctuation lemma and the approach of Lyapunov functionals. Our results imply that decreasing the initial transmission rate and drawing up efficient prevention ways play a much more important role on controlling the disease spread than increasing the total treatment rate. The obtained theoretical results are illustrated with numerical simulations, which also indicate that infection age is an important factor affecting the epidemic spread. This is a joint work with Junyuan Yang and Toshikazu Kuniya.

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